Texas toupee

A Texas toupee is a cowboy hat (usually a Stetson), so named because it easily hides the pate of a balding cowboy. The popularity of the Stetson in Texas gave rise to the alliterative term.

No hairpieces for me, ma'am -- if I'm hidin' my bald spot, I'll do it behind a Texas toupee.

Man, that is a serious Texas toupee. How much did you pay for it?

I'll skip the hat store. It's all Texas toupees in there, anyway.